Graphic Presentation of the research

1. Chapter 3 – 1
Chapter 3: Graphic Presentation
• The Pie Chart
• The Bar Graph
• The Statistical Map
• The Histogram
• Statistics in Practice
• The Frequency Polygon
• Times Series Charts
• Distortions in Graphs
It is important to choose the appropriate graphs
to make statistical information coherent.

2. Chapter 3 – 2
The Pie Chart: The Race and
Ethnicity of the Elderly
• Pie chart: a graph showing the differences
in frequencies or percentages among
categories of a nominal or an ordinal
variable. The categories are displayed as
segments of a circle whose pieces add up to
100 percent of the total frequencies.

3. Chapter 3 – 3
White
Black
American Indian
Asian
Pacific Islander
Two or more
87.7%
8.3%
2.8%
.5%
.8% .6%
N = 35,919,174
Too many categories can be messy!
Figure 3.1 Annual Estimates of U.S. Population 65 Years and Over by Race, 2003

4. Chapter 3 – 4
White
Black
Other and two or more
87.7%
8.3%
4%
N = 35,919,174
We can reduce some of the categories
Figure 3.2 Annual Estimates of U.S. Population 65 Years and Over, 2003

5. Chapter 3 – 5
The Bar Graph: The Living
Arrangements and Labor Force
Participation of the Elderly
• Bar graph: a graph showing the differences
in frequencies or percentages among
categories of a nominal or an ordinal
variable. The categories are displayed as
rectangles of equal width with their height
proportional to the frequency or percentage
of the category.

6. Chapter 3 – 6
0
10
20
30
40
50
60
70
80
Living alone Married Other
Series1
N=13,886,000
Figure 3.3 Living Arrangements of Males (65 and Older) in the United States, 2000

7. Chapter 3 – 7
0
10
20
30
40
50
60
70
80
Living alone Married Other
Males
Females
Can display more info by splitting sex
Figure 3.4 Living Arrangement of U.S. Elderly (65 and Older) by Gender, 2003

8. Chapter 3 – 8
77.1
57.2
18
63.4
44.3
9.8
0 20 40 60 80 100
55 to 59
60- to 64
65 +
Women
Men
Figure 3.5 Percent of Men and Women 55 Years and Over in the Civilian Labor
Force, 2002

9. Chapter 3 – 9
The Statistical Map: The Geographic
Distribution of the Elderly
We can display dramatic geographical
changes in American society by using a
statistical map. Maps are especially useful
for describing geographical variations in
variables, such as population distribution,
voting patterns, crimes rates, or labor force
participation.

10. Chapter 3 – 10

11. Chapter 3 – 11

12. Chapter 3 – 12
The Histogram
• Histogram: a graph showing the differences
in frequencies or percentages among
categories of an interval-ratio variable.
The categories are displayed as contiguous
bars, with width proportional to the width of
the category and height proportional to the
frequency or percentage of that category.

13. Chapter 3 – 13
0
5
10
15
20
25
30
65-69 70-74 75-79 80-84 85-89 90-94 95+
Figure 3.7 Age Distribution of U.S. Population 65 Years and Over, 2000

14. Chapter 3 – 14

15. Chapter 3 – 15

16. Chapter 3 – 16
The Frequency Polygon
• Frequency polygon: a graph showing the
differences in frequencies or percentages
among categories of an interval-ratio
variable. Points representing the
frequencies of each category are placed
above the midpoint of the category and are
jointed by a straight line.

17. Chapter 3 – 17
Figure 3.11. Population of Japan, Age 55 and Over, 2000, 2010, and 2020
Population of Japan, Age 55 and Over, 2000,
2010, and 2020
0
2,000,000
4,000,000
6,000,000
8,000,000
10,000,000
12,000,000
55-59 60-64 65-69 70-74 75-79 80+
2000
2010
2020
Source: Adapted from U.S. Bureau of the Census, Center for International Research,
International Data Base, 2003.

18. Chapter 3 – 18
Time Series Charts
• Time series chart: a graph displaying
changes in a variables at different points
in time. It shows time (measured in units
such as years or months) on the horizontal
axis and the frequencies (percentages or
rates) of another variable on the vertical
axis.

19. Chapter 3 – 19
Figure 3.12 Percentage of Total U. S. Population 65 Years and Over, 1900 to 2050
0
5
10
15
20
25
1900 1920 1940 1960 1980 2000 2020 2040 2060
Source: Federal Interagency Forum on Aging Related Statistics, Older Americans
2004: Key Indicators of Well Being, 2004.

20. Chapter 3 – 20
Figure 3.13 Percentage Currently Divorced Among U.S. Population 65 Years and
Over, by Gender, 1960 to 2040
0
2
4
6
8
10
12
14
16
1960 1980 2000 2020 2040
Males
Females
Source: U.S. Bureau of the Census, “65+ in America,” Current Population Reports,
1996, Special Studies, P23-190, Table 6-1.

21. Chapter 3 – 21
Distortions in Graphs
Graphs not only quickly inform us; they can
quickly deceive us. Because we are often
more interested in general impressions than
in detailed analyses of the numbers, we are
more vulnerable to being swayed by
distorted graphs.
–What are graphical distortions?
–How can we recognize them?

22. Chapter 3 – 22
Shrinking an Stretching the Axes:
Visual Confusion

23. Chapter 3 – 23
Shrinking an Stretching the Axes:
Visual Confusion

24. Chapter 3 – 24
Distortions with Picture Graphs

25. Chapter 3 – 25
Statistics in Practice
The following graphs are particularly
suitable for making comparisons among
groups:
- Bar chart
- Frequency polygon
- Time series chart

26. Chapter 3 – 26
Figure 3.17 Percentage of College Graduates among People 55 years and over by
age and sex, 2002
31.1
23.3
20.8
21.5
14.7
11.8
0 10 20 30 40
55-64
65-74
85+
Women
Men
Source: Smith, 2003.

27. Chapter 3 – 27
Figure 3.18 Years of School Completed in the United States by Race and Age, 2003
0
10
20
30
40
50
60
0 to 8 9 to 12 13 to
15
16+
all races 15-64
all races 65+
black alone
15-64
black alone
65+
Source: Stoops, Nicole. 2004. “Educational Attainment in the United States: 2003.”
Current Population Reports, P20-550. Washington D.C.: U.S. Government Printing
Office.

28. Chapter 3 – 28
Why use charts and graphs?
– What do you lose?
–ability to examine numeric detail offered by a table
–potentially the ability to see additional relationships
within the data
–potentially time: often we get caught up in selecting
colors and formatting charts when a simply formatted
table is sufficient
– What do you gain?
–ability to direct readers’ attention to one aspect of the
evidence
–ability to reach readers who might otherwise be
intimidated by the same data in a tabular format
–ability to focus on bigger picture rather than perhaps
minor technical details